It seems like you turned JavaScript off in your browser. Please enable it or use a different browser to see the content of this website.
Here are the instructions to enable JavaScript in your web browser.

DK (and related) Events

Upcoming events

The workshop is embedded into the activities of the Special Research Program (SFB) F65. This is a consortile venture, currently joining eleven applied-PDE groups at the University of Vienna, the Vienna University of Technology, and the Institute of Science and Technology (IST) Austria. The aim of the workshop is that of connecting with key researchers in the areas relevant to the SFB program, while offering an overview of the state of the art. In particular, modeling and analysis for PDE systems will come into focus, with emphasis on variational and entropic structures and structure-preserving approximations.

The program brings together researchers working on Optimal Transport in diverse areas, such as stochastic analysis, mathematical finance, analysis in singular spaces, geometric inequalities, gradient flows, optimal random matching, optimal transport for density matrices, numerical methods, computer vision, and machine learning. The aim of the proposed ESI programme is to establish interactions, encourage new collaborations, and identify synergies between these different disciplines.

The aim of this workshop is to support the promotion of women in mathematics bringing together students, young researchers (PhD students and postdocs) and established female mathematicians working in the area of partial differential equations (PDEs). Outstanding invited speakers will give talks on their current research topics. PhD students are invited to present posters (open to all genders). A panel discussion, chaired by an experienced journalist, will give the possibility to discuss questions concerning not only research but also career planning and practical questions of managing career and family interests.

The biennial RMMM conferences bring together scientists developing reliable methods for mathematical modeling. The topics of the conference include applied and numerical analysis, methods for the control of modeling and numerical errors, algorithmic aspects, challenging applications, and novel discretization methods for the numerical approximation of PDEs.

The workshop aims to bring together researchers working on various aspects of liquid crystals, with topics spanning from the physical modeling and numerical simulations of liquid crystalline systems to rigorous analysis of major liquid crystal phenomena.

The workshop at the Erwin Schrödinger International Institute for Mathematical Physics (ESI) is expected to deal with different themes spanning from modeling questions for failure phenomena to the underlying mathematical theory.

This user meeting is the successor of the first NGSolve user meeting which successfully took place in Vienna in 2017. At the NGSolve user meeting 2018 in Göttingen, we again bring together advanced NGSolve users with different background, as well as newcomers who want to get a quickstart into NGSolve and NGS-Py. Experiences will be shared, new features are to be discussed and extensions to the software are presented.

The Institute of Science and Technology Austria (IST Austria) organizes a Summer School on hot topics of current research in mathematical physics and probability. The event is aimed at a broad audience of researchers in these fields, particularly focusing on PhD students and postdocs.

This event is organized in the framework of the public lecture series organized by IST Austria and the Austrian Academy of Sciences aiming to bring to Austria speakers of the highest international standing active in fields that are of mutual interest to both institutions and to a wider public. Please register as soon as possible here.

We will first present the mathematical theory of Diffusion and Heat Propagation as seen from the classical point of view of Partial Differential Equations. This will allow us to mention concepts of great beauty and relevance in what follows. We will then introduce our favorite topic of Nonlinear Diffusion, embodied in equations like the Porous Medium Equation, and focused on the existence and properties of the very interesting geometrical objects called Free Boundaries. We will complete the presentation with a review of personal work on diffusion equations involving long distance interactions in the form of Fractional Laplacian Operators. This topic has been intensely developed in the last decade and is still in full bloom.

The talk is the fifth one in the series "Distinguished PDE Lecture" organized by the Vienna Center for PDEs and the doctoral school "Dissipation and Dispersion in Nonlinear PDEs". Participation is free of charge but registration is required (until 09 May 2018 sending an e-mail to Ms. Khaladj).

A holepunch cloud is a curious and rare atmospheric feature where an aircraft, descending or ascending through a thin cloud layer, leaves behind a growing circular hole of clear air. Observed since the early days of aviation, only in 2011 was this holepunch phenomenon simulated in a full-physics numerical weather model. Although the initiation process has long been explained by ice crystal formation, the continued growth of the hole, even up to an hour after its birth, remained a bit of a fluid dynamical mystery. We begin by excluding some of the "obvious" reasons by tweaking the physics in the numerical simulations (fake weather!). We then attribute the expansion of the hole to the presence of an expanding wavefront. The leading edge of this wave is a front of phase change, where cloudy air is continually evaporated and so expands the hole. Our explanation has led us towards the development of a more general theory for an understanding of how atmospheric waves can evolve the shape of clouds. This work is in collaboration with R Rotunno (NCAR), H Morrison (NCAR), R Walsh (SFU) and H Lynn (SFU).

Workshop "Applied PDEs and kinetic equations: from physics to life sciences and beyond"

The workshop on 'Applied PDEs and kinetic equations: from physics to life sciences and beyond' is organized on the occasion of Christian Schmeiser's 60th birthday. A main focus on the workshop are nonlinear PDEs and kinetic equations and their application in physics and biology - topics in which Christian made significant contributions.

Propagation of gradient flow structures from microscopic to macroscopic models

Abstract:

A holepunch cloud is a curious and rare atmospheric feature where an aircraft, descending or ascending through a thin cloud layer, leaves behind a growing circular hole of clear air. Observed since the early days of aviation, only in 2011 was this holepunch phenomenon simulated in a full-physics numerical weather model. Although the initiation process has long been explained by ice crystal formation, the continued growth of the hole, even up to an hour after its birth, remained a bit of a fluid dynamical mystery. We begin by excluding some of the ``obvious" reasons by tweaking the physics in the numerical simulations (fake weather!). We then attribute the expansion of the hole to the presence of an expanding wavefront. The leading edge of this wave is a front of phase change, where cloudy air is continually evaporated and so expands the hole. Our explanation has led us towards the development of a more general theory for an understanding of how atmospheric waves can evolve the shape of clouds. This work is in collaboration with R Rotunno (NCAR), H Morrison (NCAR), R Walsh (SFU) and H Lynn (SFU).

This event is organized in the framewrok of the "Pauli Kolloquium" series and will be included in the schedule of
the workshop "Applied PDEs and kinetic equations: from physics to life sciences and beyond".

This minicourse is devoted mainly to PhD Students and Post-docs of the SFB and/or DK programmes. The aim is to teach some basic tools needed to write a semi-professional website. No prerequisites are needed, but familiarity with any kind of programming language is a plus.
If you are a DK/SFB PhD/Postdoc member interested in the workshop and you haven't communicated your participation yet, please contact Matteo Tommasini as soon as possible.

Faculty of Mathematics, University of Vienna
Oskar-Morgenstern-Platz, 1

Abstract:

Variational evolution problems are almost ubiquitous in applications and have been considered in connection with fluid dynamics, phase transitions, thin films, quantum models, nonlinear diffusion and transport problems, chemical reactions, rate-independent phenomena, and material modeling, just to mention a few hot topics. The workshop is intended to present contemporary research directions in variational evolution models and methods.
No registration required!

This talk presents our work on high-performance implementations of
matrix-free operator evaluation by cellwise integration on the fly with
sum factorization techniques. Our realization is made available through
the deal.II finite element library and targets generic weak forms not
tied to a specific equation, but with the restriction of quadrilateral
and hexahedral meshes. It is embedded into the advanced numerical
features of the deal.II library such as high approximation orders, mesh
adaptivity, and complex curved meshes within a parallel mesh strategy
that can scale to hundreds of thousands of CPUs. A few applications that
benefit from these algorithms will be shown.
A recent focus of our work has been to establish performance envelopes
that characterize the implementation for continuous and discontinuous
Galerkin discretizations. Our experiments show that the performance of
the matrix-vector product can come within a factor of 1.5 of finite
difference stencils on Cartesian meshes, limited by the memory bandwidth
of reading the input and writing the output vector, despite the highly
flexible nature of the Galerkin method.

Dynamics of pulse patterns in reaction-diffusion systems: a geometric analysis

Abstract:

The study of pattern formation in natural systems is not only an exciting way to apply techniques and develop ideas from the field of dynamical systems and differential equations; the results obtained by mathematical analysis can in turn give insight into the behaviour of these natural systems, creating a fertile feedback between theory (mathematics) and observation/experiment (biology, physics).
In this talk, I will explain how to use ideas and techniques from geometric singular perturbation theory to study the existence, stability, and dynamics of pulse solutions (spikes/spots) in the context of general singularly perturbed reaction-diffusion systems. The spatial scale separation induced by this singular perturbation will prove to be pivotal for the analysis. I will give an overview of the current state-of-the-art, and discuss unresolved questions that inspire active research.

The workshop will provide mathematicians, experimentalists, and clinicals, an opportunity to discuss recent advances in mathematical biology and medicine. The meeting will be used to identify new problems that require innovative mathematical approaches and to foster new collaborations.

In this talk I will discuss some results about the mean curvature evolutions of the
bounded space-partitions. Using the minimizing movement method of De Giorgi, I show the existence of a locally time-Holder continuous (weak) motion, defined globally in time. In particular, this solution starting from a partition made by a union of bounded convex sets at a positive distance agrees with the classical mean curvature flow, and the motion is stable with respect to the Hausdorff convergence of the initial partitions. This is a joint work with Giovanni Bellettini.

I will review various contributions on the fundamental work of Lanford deriving the Boltzmann equation from hard-sphere dynamics in the low density limit. I will focus especially on the assumptions made on the initial data and on how they encode irreversibility. We will see that the impossibility to reverse time in the Boltzmann equation (expressed for instance by Boltzmann's H-theorem) is related to the lack of convergence of higher order marginals on some singular sets.

In this meeting we bring together advanced NGSolve users with different background, as well as newcomers who want to get a quickstart into NGS-Py. We start with a basic tutorial on the first day, present the implementation and use of new and advanced methods, and discuss topics for the near future.

Mathematics in climate research is often thought to be mainly a
provider of techniques for solving, e.g., the atmosphere and ocean flow
equations. Three examples elucidate that its role is much broader and deeper:

Climate modelers often employ reduced forms of "the flow equations" for efficiency. Mathematical analysis allow us to assess regime of validity of such models.

Climate is defined as "weather statistics". Yet, climate research focuses on how climate changes in time while a reliable notion of "time dependent statistics" is as yet lacking. Mathematics provides advanced data analysis techniques for time series with non-trivial temporal trends.

Climate research, economy, and the social sciences are to generate a scientific basis for informed political decision making. Subtle language barriers often hamper systematic progress in this area. Mathematical formalization helps structuring related discussions and thus enables interdisciplinary research.

Mathematical and numerical modeling of multiphysics problems, with application to the cardiocirculatory system

Abstract:

Cardiovascular diseases unfortunately represent one of the leading causes of death in Western countries. Mathematical models allow the description of the blood motion in the human circulatory system, as well as the interplay between electrical, mechanical and fluid-dynamical processes occurring in the heart. This is a classical environment where multiphysics processes have to be addressed. Appropriate numerical strategies can be devised to allow for an effective description of the fluid in large and medium size arteries, the analysis of physiological and pathological conditions, and the simulation, control and shape optimization of assisted devices or surgical prostheses. This presentation will address some of these issues and a few representative applications of clinical interest.

The talk is the fourth one in the series "Distinguished PDE Lecture" organized by the Vienna Center for PDEs and the doctoral school "Dissipation and Dispersion in Nonlinear PDEs". Participation is free of charge but registration is required (until 23 May 2017 sending an e-mail to Ms. Khaladj).

Workshop on "Cross diffusion systems and kinetic equation for biology"

This workshop will focus on cross diffusion systems and kinetic equations arising in biology. The aim of this meeting is to bring together expert and young researchers in these fields working either on mathematical analysis, modeling or numerical analysis. The (reasonable) number of talks will leave room for informal scientific discussions between the participants, which is one of the purposes of this meeting.

The aim of this workshop is to provide a platform to bring together students of mathematics, young researchers (PhD students and postdocs) and established female mathematicians from academia and industry working on partial differential equations (PDEs). Outstanding invited speakers will give talks on their current research topics. A panel discussion will give the possibility to discuss questions not only concerning research but also career choices/planning and practical questions of managing career and family interests.

The intertwining wave operators are basic objects in the scattering theory of a Hamiltonian given as the sum of a Laplacian with a potential. These Hamiltonians are the classical Schroedinger operators of quantum mechanics. For the three dimensional case we will discuss a new representation of the wave operators as superpositions of reflections and translations. In addition, we will also describe some work on random decaying potentials, such as by Bourgain. This is joint work with Marius Beceanu, Albany.

The aim of the workshop is to present the latest results on the modelling, analysis, and numerical approximation of Partial Differential Equations (PDEs). The topics include classical and quantum mechanical kinetic theory and nonlinear PDEs describing diffusive or dispersive phenomena, with applications in physics, biology, and social sciences. The workshop will celebrate the 60th birthday of Peter A. Markowich.

A registration is mandatory but free of charge. There will be no contributed talks but a poster session will be organized. Details will be published in due time. We acknowledge financial support of the Wiener Städtische.

The aim of the workshop is to provide an overview over recent advances in PDEs, specializing on contributions of women. The speakers, spanning various career stages, may serve as role models. The program will include opportunities for contacts between PhD studients and the speakers.

The aim of the workshop is to bring together researchers working on nonlinear PDEs, gradient flows and related problems, either from a modeling, analytical or numerical point of view.
Registration is open till October 31, 2016. We acknowledge financial support of the Wiener Städtische.

We present several stability results concerning smooth solutions of the compressible Euler and Navier-Stokes system in the class of measure-valued solutions. We show that strong and measure-valued solutions of these systems coincide as soon as the strong solution exists. The question if any measure-valued solution can be generated by a sequence of weak solutions will be also addressed.

The talk is the third one in the series "Distinguished PDE Lecture" organized by the Vienna Center for PDEs and the doctoral school "Dissipation and Dispersion in Nonlinear PDEs". Participation is free of charge but registration is required (until 17 May 2016 via email).

Lecture on "An Introduction to Viscosity Solutions of Fully Nonlinear 2nd Order PDE"

02.05.2016 - 24.05.2016

Location:

TU Vienna

Lecturer:

Nikos Katzourakis, University of Reading, UK

Brief Syllabus:

Part I General Theory

History, Examples, Motivation and First Definitions

Second Definitions and Basic Analytic Properties of the Notions

Stability Properties of the Notions and Existence via Approximation

Mollification of Viscosity Solutions and Semiconvexity

Existence of Solution to the Dirichlet Problem via Perron's Method

Comparison results and Uniqueness of Solution to the Dirichlet Problem

Part II Applications

Minimisers of Convex Functionals and Viscosity Solutions of the Euler-Lagrange PDE

Existence of Viscosity Solutions to the Dirichlet Problem for the Laplacian

Mathematical finance without probability: Pathwise methods, Functional calculus and applications. Motivated by the importance of model uncertainty, there has been a recent surge of interest in mathematical finance for modeling approaches which do not require the specification of a probability measure. A central issue in these approaches is the pathwise construction of integrals with respect to irregular paths of infinite variation. This workshop will discuss the state of the art in non-probabilistic modeling, pathwise integration and applications in finance and uncertainty modeling.

Ferromagnetic materials play an important role in a variety of technological applications. The aim of the workshop is to bring together some of the leading researchers working in micromagnetics, and initiate intensive idea exchanges and new collaborations. The workshop will consist of 12 invited talks and a poster presentation.

Many Individual-based pedestrian models have been proposed in the literature. Some of them rely on the view of pedestrians as rational agents optimizing their trajectory in order to fulfill their goal in a game theoretical framework. In this talk, we propose a macroscopic model based on this idea and show how the search for local equilibria amounts to finding the Nash equilibrium of a suitable game.
An introduction will be given by Christian Schmeiser (WPI c/o Fak. Math. Uni Wien).

The purpose of the workshop is to bring together experts from the mathematical, computational, physical, and engineering communities from Vienna, who work with Partial Differential Equations, and to provide a platform for the exchange of new ideas. The meeting aims at identifying scientific contact points and stimulating joint research between the different communities, for instance in the framework of joint projects or joint bachelor, master, and PhD theses. The workshop welcomes both junior as well as senior participants.

1st CENTRAL School on Analysis and Numerics for Partial Differential Equations

12.11.2015 - 13.11.2015

Location:

University of Vienna

Description:

The CENTRAL School on Analysis and Numerics for Partial Differential Equations and the Workshop on CENTRAL Trends in PDEs are the first activities within the framework of the CENTRAL Program on Analysis and Numerics for Partial Differential Equations, a project funded by the Deutscher Akademischer Austauschdienst (DAAD), the Humboldt-Universität, Berlin, the Charles University, Prague, and the University of Vienna.

A rubber band constrained to remain on a manifold evolves by trying to shorten its length, eventually settling on some minimal closed geodesic, or collapsing entirely. It is natural to try to consider a noisy version of such a model where each segment of the band gets pulled in random directions. Trying to build such a model turns out to be surprisingly difficult and generates a number of nice geometric insights, as well as some beautiful algebraic and analytical objects.

The talk is the second one in the series "Distinguished PDE Lecture" organized by the Vienna Center for PDEs and the doctoral school "Dissipation and Dispersion in Nonlinear PDEs".

Vienna PDE Day

16.06.2015

Location:

TU Vienna, TUtheSky, 11th floor, Getreidemarkt 9, 1060 Wien

Description:

The aim of the event is to intensify the cooperation of the PDE groups in Vienna. The scientific talks shall help to identify possible links between different research fields on PDEs and related topics. Emphasis will be given on nontechnical presentations which point out possible connections and open questions. There will be plenty of time for discussions during the breaks.

I discuss some recent progress in the study of stable self-similar blowup in energy-supercritical wave equations. In particular, I present a proof for the stability of the so-called ODE blowup for the energy-supercritical focusing wave equation without symmetry assumptions. This talk is based on joint work with Birgit Schörkhuber.

The talk is the first one in the new series "Distinguished PDE Lecture" organized by the Vienna Center for PDEs and the doctoral school "Dissipation and Dispersion in Nonlinear PDEs".

Looking at the gas dynamics of stars under the assumption of spherical symmetry, I will show that transonic events in such systems are canard phenomena - peculiar solution structures identified in geometric singular perturbation problems. Consequently, stellar winds are carried by supersonic ducks, and canard theory provides a mathematical framework for this astrophysical phenomenon.

The workshop is an event within the Special Programme on Energy, Environment and Finance organised at the WPI in the academic year 2013-2014. The workshop comprises both intensive courses on selected topics related to the workshop theme as well as a small selection of contributed talks.

We will present some of the tools developed by Bourgain,
Goldstein, and the speaker to study a class of Schrödinger
operators on both the line Z as well as higher-dimensional lattices.
These methods rely on properties of subharmonic functions, but
also involve ideas from semi-algebraic sets.

Summer School on Numerical Methods for Stochastic Differential Equations

02.09.2013 - 04.09.2013

Description:

The aim is to bring together talented young researchers in the field of
(stochastic) differential equations and Computational Finance, mainly
in their first PhD year. It is organized in the framework of the
Marie-Curie Initial Training Network "Novel Methods in Computational
Finance (STRIKE)" (http://www.itn-strike.eu)
and the Doctoral School
"Dissipation and Dispersion in Nonlinear Partial Differential Equations"
(http://npde.tuwien.ac.at).
It is our pleasure to invite you or the members of your group to
participate in this event.
In a series of lectures, each of four renowned international experts
will give an introduction and present new numerical results. The
topics of the summer school include Monte-Carlo methods, numerical
techniques for stochastic (partial) differential equations, error
estimation, and applications in sciences and finance. The following
speakers have confirmed to present mini-courses:

Evelyn Buckwar (Linz, Austria)

Desmond Higham (Strathclyde, United Kingdom)

Andreas Roessler (Luebeck, Germany)

Gabriel Lord (Edinburgh, United Kingdom)

A limited numer of invited and contributed talks (30 min.) as well as
a poster session is available. Please, mention your interest when
registering.

The European Summer School in Financial Mathematics aims at bringing together the most talented young researchers in the field, looking at the very young who only just started their PhD studies. The Scientific Committee consists of European leaders and representatives of financial mathematics. We warmly thank them for their encouragement and for accepting to be part of this committee. Their first and main task is to identify the most promising candidates. The successful candidates will be sponsored for their travel and living expenses during the summer school. Further information and an application form can be found here.
For its sixth anniversary, the European Summer School in Financial Mathematics takes place in Vienna. It will be held at the University of Vienna and is part of the Doctoral Program on Dissipation and Dispersion in Nonlinear Partial Differential Equations. Please notice, that in the week after this summer school (2-4 September, 2013), a related summer school on Numerical Methods for Stochastic Differential Equations takes place at the Technical University of Vienna. Further information can be found on the summer school's homepage.
The Summer School is centered around two advanced courses taught by widely recognised experts. We are particularly interested in a well-balanced combination of theoretical and practical input. There will also be some students' seminars where the young participants can get teaching experience and discuss their research.
We hope that the Summer School leads to an active cooperation between the various European institutions. We also hope that the Summer School provides an opportunity to open doors for European students amongst different research centres. Our ambition is also to put the foundations for a more visible European network at the doctoral level in the field of financial mathematics.
This school belongs to the series of the EMS Applied Mathematics schools. We gratefully acknowledge the support of the French Federation of Banks (Federation Bancaire Francaise), INFORM (Scientific Association for Insurance, Financial, and Operational Risk Management) and the European Research Council (ERC).

Workshop on "Quantized Vortices in Superfluidity and Superconductivity and Related Problems"